Results 1 to 10 of about 382 (69)
A fractal derivative constitutive model for three stages in granite creep
Results in Physics, 2017 In this paper, by replacing the Newtonian dashpot with the fractal dashpot and considering damage effect, a new constitutive model is proposed in terms of time fractal derivative to describe the full creep regions of granite.
H W Zhou
exaly +3 more sources
Economic models involving time fractal [PDF]
Mathematics and Modeling in Finance, 2021 In this article, the price adjustment equation has been proposed and studied in the frame of fractal calculus which plays an important role in market equilibrium.
Alireza Khalili Golmankhaneh +3 more
doaj +1 more source
Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman +2 more
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Fractal Stochastic Processes on Thin Cantor-Like Sets
Mathematics, 2021 We review the basics of fractal calculus, define fractal Fourier transformation on thin Cantor-like sets and introduce fractal versions of Brownian motion and fractional Brownian motion. Fractional Brownian motion on thin Cantor-like sets is defined with
Alireza Khalili Golmankhaneh +1 more
doaj +1 more source
Fractal Variational Theory for Chaplygin-He Gas in a Microgravity Condition [PDF]
Journal of Applied and Computational Mechanics, 2021 On the microgravity condition, gravity affects the motion of objects and the flow of fluids, and the continuum assumption is not valid, therefore, a fractal Chaplygin-He gas model is developed by a new fractal derivative in microgravity space.
KangLe Wang, ShaoWen Yao
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Engineering Science and Technology, an International Journal, 2023 This work develops a new Legendre delay operational matrix based on Legendre polynomial features that are integrated with regard to the Legendre fractional derivative operational matrix in order to solve the issues.
Mays Basim +3 more
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Fractal and Fractional, 2021 In this paper, the fractal derivative is introduced into a neural network-based discrete-time fractional-order PID controller in two areas, namely, in the controller’s structure and in the parameter optimization algorithm.
Zhe Gao
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Fractal and fractional dynamics for a 3D autonomous and two-wing smooth chaotic system
Alexandria Engineering Journal, 2020 Some existing chaotic systems cannot display dynamics with attractors showing a fractal representation. This is due, not only to the nature of the phenomenon under description, but also to the type of derivative operator used to express the whole model ...
Emile F. Doungmo Goufo
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Alexandria Engineering Journal, 2023 The generalized shallow water wave equation is an important mathematical model that is used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal currents.
KangLe Wang, ChunFu Wei
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Nonlinear Engineering, 2023 A nonlinear Boussinesq equation under fractal fractional Caputo’s derivative is studied. The general series solution is calculated using the double Laplace transform with decomposition. The convergence and stability analyses of the model are investigated
Algahtani Obaid J.
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